A group of students has an average height of 150 cm. If one student leaves the g

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What’s inside this PDF?

Question: A group of students has an average height of 150 cm. If one student leaves the group and the average height becomes 148 cm, what is the height of the student who left?

Options:

152 cm
154 cm
156 cm
158 cm

Correct Answer: 152 cm

Solution:

Let the number of students be n. Total height = 150n. After one leaves, total height = 148(n - 1). Setting the equations gives 150n - 148(n - 1) = height of student.

A group of students has an average height of 150 cm. If one student leaves the g

Practice Questions

A group of students has an average height of 150 cm. If one student leaves the group and the average height becomes 148 cm, what is the height of the student who left?

152 cm
154 cm
156 cm
158 cm

Questions & Step-by-Step Solutions

A group of students has an average height of 150 cm. If one student leaves the group and the average height becomes 148 cm, what is the height of the student who left?

Step 1: Let the number of students in the group be n.
Step 2: Calculate the total height of all students using the average height: Total height = 150 * n.
Step 3: When one student leaves, the number of students becomes n - 1.
Step 4: The new average height is 148 cm, so the new total height is: Total height = 148 * (n - 1).
Step 5: Set up the equation: Original total height - Height of the student who left = New total height.
Step 6: Write the equation: 150n - Height of the student = 148(n - 1).
Step 7: Rearrange the equation to find the height of the student: Height of the student = 150n - 148(n - 1).
Step 8: Simplify the equation to find the height of the student who left.

Average Calculation – Understanding how to calculate the average height and how it changes when a member leaves the group.
Algebraic Manipulation – Setting up and solving equations based on the information given in the problem.

A group of students has an average height of 150 cm. If one student leaves the g

What’s inside this PDF?

A group of students has an average height of 150 cm. If one student leaves the g

Practice Questions

Questions & Step-by-Step Solutions

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